MORRIS HILLS HS
CHAPTER 4 & 5
Congruent Triangles
GEOMETRY LESSON PLAN
Sections: 4:1-7
OBJECTIVES the student will:
-
Classify triangles and identify parts of triangles
Investigate the relationships of the angles of a triangle
Discover SSS, SAS, ASA and AAS to show congruent triangles
Use congruent triangles to prove congruent parts
PROFICIENCIES: # 30, 31, 32, 33, 34, 35
NJDOE Mathematical Standards: 4.2A, B, C, D, E, 4.3A, 4.4B, 4.5A, B, C, D, E, F
METHOD/ACTIVITIES
Day 1: Do Now: List types of triangles by sides and by angles
Given coordinates of vertices, classify the triangle
Practice 4-1
Proof of triangle sum using parallel lines, third angle theorem, rt. tri. acute angles
Define exterior angles, remote interior angles – use paper triangle to find relationship
Sketchpad Investigation: exterior angle
Practice 4-2
HW – P. 181, #13-29 odd, 33, 35, 40, 49-55
P. 189, #15-24, 28-31, 45, 56-58
Day 2: Do Now: DANKIM, write six congruent statements
Define CPCTC
Practice 4-3
Word Problems – Enrichment 4-2
HW – none [Thanksgiving]
[shortened class]
Day 3: Do Now: DANKIM, write six congruent statements
Explore shortcuts; S, A, SS, AA, SA, define included
CG: explore SSS, AAA, SAS, ASA, AAS, SSA, HL
Old Practice 8-1
HW – P. 204, #12, 14-18 (no proof), 22-25, 35-40
P. 211, #9-14 (no proof), 25-29
Day 4: Do Now: congruent triangles
Review HW
Demonstrate SSA and HL, and overlapping triangles
Stations
HW – handout practice of congruent triangles
Day 5: Do Now: Arrange statements of Digit-Place game
Quiz 4A
Use congruent parts (CPCTC) and two column proofs
Practice proofs using SMARTBoard
HW – P. 204, #13, 16-19, 30-31
P. 211, #9-12, 23-24, 31-32
Day 6: Do Now: How many triangles?
Review HW. Flow chart proofs
Examples of coordinate proofs
Skills Practice 4-7
HW – P. 211, #14-15, 17-18
P. 224, #16-24, 39-40, 45-47
ASSESSMENT
Completed Worksheets:
Project: Geometric Ornament
Quiz/Test: Quiz 4A
Mar-16
MORRIS HILLS HS
CHAPTER 4 &5
CONGRUENT TRIANGLES
GEOMETRY LESSON PLAN
Sections: 5:1, 4-6
OBJECTIVES the student will:
-
Identify and use medians, altitudes, angle bisectors, and perpendicular bisectors in a
triangle
Recognize and apply relationships between sides and angles of a triangle
Apply triangle inequality theorem
Apply the SAS Inequality and the SSS Inequality
Use indirect reasoning and proof to reach a conclusion
METHOD/ACTIVITIES
Day 7: Do Now: proof
Review HW
Define Altitude, Median, Perpendicular Bisector and Angle Bisector of a triangle
Sketchpad Investigation: equidistance, points of concurrency, location of median
Skills Practice 5-1
HW – P. 243, #13-26
P. 220, #23-29
Day 8: Do Now: Marking triangles with given information
Review HW
Sketchpad – special circles, medians  equal area, centroid location
Practice 5-1 and proofs with special segments
HW – P. 242, #6, 27-30, 35-38, 46-49
Handout: proofs [Practice 8-4]
Day 8: Quiz 4B
Inequalities for sides and angles of a triangle – Old Practice 5-4
Review HW
Model triangle inequality
Practice 5-4
HW – P. 252, #37-42
P. 264, #15-37 odd
Day 9: Do Now: Name special segments
Review HW
Stations
HW – P. 228, #9-14, 19-24
P. 231, #1-9, 14-16
P 274, #1-10, 24-25
Day 10: Do Now: True/False review
Review HW
Test Ch 4 & 5
HW – P. 278, #1-15 SAT review
ASSESSMENT
Completed Worksheets: Sketchpad Investigation
Project: Geometric Ornament
Quiz/Test: Quiz 4/5B, Test 4/5
Mar-16
Use a ruler and protractor to construct each triangle with
the given information. Label each vertex on the inside.
Cut out each triangle.
TRIANGLE
CLASSIFY
RAT
RA = 8”
CAN
 CAN = 35O  NCA = 90O
DAN
DA = 9”
 DAN = 45O
TOP*
OP = 9”
TO = 6”
TIM
 TIM = 40O  MTI = 120O  IMT = 20O
JOE
JO = 10”
 JOE = 65O
OE = 4”
MEG
EG = 11”
 EGM = 58O
ME = 9 ½”
PAT
PA = 9”
 TPA = 62O
 PAT = 48O
SUE
SU = 6”
 SUE = 101O  UES = 42O
BEN
EN = 6”
 ENB = 90O
DIAGRAM
AT = 5”
TP = 5”
BE = 10”
Mar-16
SPECIAL SEGMENTS IN TRIANGLES
ANGLE BISECTORS
ALTITUDES
OBSERVATIONS:
OBSERVATIONS:
Acute:
Acute:
Right:
Right:
Obtuse:
Obtuse:
Point of Concurrency: _________________
Point of Concurrency: _________________
PERPENDICULAR BISECTORS
MEDIANS
OBSERVATIONS:
OBSERVATIONS:
Acute:
Acute:
Right:
Right:
Obtuse:
Obtuse:
Point of Concurrency: _________________
Point of Concurrency: _________________
Mar-16